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#' Calculate the log counterfactual densities
#'
#' @description A function that takes a hyperframe and returns the log counterfactual densities
#' ie, the numerator of the equation
#'
#' @param cf_dens A counterfactual density (an im object)
#' @param treatment_data In the form of hyperframe$column
#'
#' @returns A numeric vector of sums of log densities for each time period
get_cf_sum_log_intens <- function(cf_dens,
treatment_data) {
intensity_of_each_obs <- lapply(1:length(treatment_data), function(t) {
spatstat.geom::interp.im(cf_dens,
x = treatment_data[[t]],
bilinear = TRUE)
})
# Observations at the boundary cause troubles since intensity can't be determined.
# This is mainly an issue pertaining to the resolution.
# Fix this by removing those at the boundary.
intensity_of_each_obs <- lapply(intensity_of_each_obs, function(x) x[!is.na(x)])
sum_log_intensity <- sapply(intensity_of_each_obs, function(x) { # Take the sum of the above for each date
r <- 0
if (length(x) > 0) r <- sum(log(abs(x)))
return(r)
})
return(sum_log_intensity)
}
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